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Finding the Fourth Proportional to 363,066.32, 543,431.32 and 194,164.08

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Solution

The fourth proportional to 363,066.32, 543,431.32 and 194,164.08 is: 290,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,066.32 : 543,431.32 = 194,164.08 : x
  2. Step 2: Convert to fraction form
    363,066.32/543,431.32 = 194,164.08/x
  3. Step 3: Cross multiply
    363,066.32x = 543,431.32 × 194,164.08
  4. Step 4: Simplify right side
    363,066.32x = 105,514,842,290.99
  5. Step 5: Solve for x
    x = 105,514,842,290.99/363,066.32
  6. Step 6: Final answer
    x = 290,621.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.